I've got the same problems with Adobe Reader 8.12. Over the last 2 weeks Adobe updater has generated over 3GB of traffic. The only Adobe software I've got installed is Adobe Reader 8.12, except for the Flash and Shockwave plugins for the web browser. WebMarshal reports:
b ardownload.adobe.com
05-Dec-2008 13:08.34 http /pub/adobe/reader/win/8 x/8.13/enu/AdbeRdr813_en_US.msi 3975kB
05-Dec-2008 13:08.50 http /pub/adobe/reader/win/8 x/8.13/enu/AdbeRdr813_en_US.msi 2854kB
05-Dec-2008 13:09.06 http /pub/adobe/reader/win/8 x/8.13/enu/AdbeRdr813_en_US.msi 4170kB
05-Dec-2008 13:09.22 http /pub/adobe/reader/win/8 x/8.13/enu/AdbeRdr813_en_US.msi 3874kB
05-Dec-2008 13:09.38 http /pub/adobe/reader/win/8 x/8.13/enu/AdbeRdr813_en_US.msi 3653kB
05-Dec-2008 13:09.54 http /pub/adobe/reader/win/8 x/8.13/enu/AdbeRdr813_en_US.msi 4270kB
05-Dec-2008 13:10.10 http /pub/adobe/reader/win/8 x/8.13/enu/AdbeRdr813_en_US.msi 3584kB
05-Dec-2008 13:10.26 http /pub/adobe/reader/win/8 x/8.13/enu/AdbeRdr813_en_US.msi 3833kB
So only during these 2 minutes it connected and downloaded something 8 times. And this goes on for another few hours on this particular day and newer dates as well. I've seen this behaviour on another computer as well. It's doing more download attempts but haven't done anything like my 3GB yet. Is there anything that can be done to fix this problem (except for turning off automatic updates, which I've done)?